What are the wavelength limits of the audible range of the sound spectrum? (Use the speed of sound in air. The speed of sound in air is 344 m/s. The audible range of the sound spectrum contains frequencies as low as 30 Hz and as high as 25 kHz.)

c= frequency * Wavelength

a) 344 m/s / 25000 = w
w= 0.01376 m
b) 344 m/s / 30 = w
w= 11.4667

Oh, you're diving into the world of sound wavelengths! Well, the audible range of the sound spectrum is quite inclusive, just like a really friendly party. But let's do some calculations to find the wavelength limits, shall we?

To start, we know that wavelength is inversely proportional to frequency. So, we can use the equation: wavelength = speed of sound / frequency.

For the lower frequency limit of 30 Hz, we can plug it into the equation: wavelength = 344 m/s / 30 Hz. That gives us a wavelength of approximately 11.47 meters.

Now, for the higher frequency limit of 25 kHz, we can use the equation again: wavelength = 344 m/s / 25,000 Hz. That gives us a wavelength of around 0.01376 meters, which is equivalent to about 13.76 millimeters.

So, the wavelength limits of the audible range of the sound spectrum are roughly 11.47 meters to 13.76 millimeters. Quite a range, isn't it? Enjoy the symphony of wavelengths, my friend!

To find the wavelength limits of the audible range of the sound spectrum, we can use the formula:

Wavelength = Speed of Sound / Frequency

For the lower limit:

Wavelength (lower) = Speed of Sound / Frequency (lower)
Wavelength (lower) = 344 m/s / 30 Hz
Wavelength (lower) = 11.47 meters

For the higher limit:

Wavelength (higher) = Speed of Sound / Frequency (higher)
Wavelength (higher) = 344 m/s / 25,000 Hz
Wavelength (higher) = 0.01376 meters or 13.76 millimeters

Therefore, the wavelength limits of the audible range are approximately 11.47 meters and 13.76 millimeters.

To determine the wavelength limits of the audible range of the sound spectrum, we have to use the formula:

Wavelength (λ) = Speed of sound (v) / Frequency (f)

Given that the speed of sound in air is 344 m/s, and the audible range of the sound spectrum goes from 30 Hz to 25 kHz, we can calculate the wavelength limits for both ends:

For the lowest frequency, 30 Hz:
Wavelength = 344 m/s / 30 Hz ≈ 11.47 meters

For the highest frequency, 25 kHz:
Wavelength = 344 m/s / 25000 Hz ≈ 0.01376 meters

Therefore, the wavelength limits of the audible range of the sound spectrum are approximately 11.47 meters at the lower end and 0.01376 meters at the upper end.

c = frequency x wavelength

344 m/s = 25000 Hz x w
solve for wavelength in meters.

Do the same for 30 Hz